Proceedings of the 24th Workshop on Combinatorial Mathematics and Computation Theory,
National Chi Nan University, Puli, Nantou Hsien, Taiwan, April 27-28, 2007.


Session A1: Best papers

1. A Loopless Algorithm to Generate Gray-Codes of t-ary Trees Using RD-Sequences .............................................. 1
 作者:Ro-Yu Wu (吳若禹), JouMing Chang (張肇明), YueLi Wang (王有禮)
2. An Optimal Algorithm for Finding Locally Connected Spanning Trees on Circular-Arc Graphs
.............................. 10
 作者:Ching-Chi Lin (林清池), Gerard J. Chang (張鎮華), Gen-Huey Chen (陳健輝)
3. Constructing Vertex-Disjoint Paths in (n, k)-Star Graphs
................................................................................. 19
 作者:Tsung-Chi Lin (林聰吉), Dyi-Rong Duh (杜迪榕)
4. A Perfect Secret Sharing Scheme for r-Uniform Hypergraph-Based Access Structures
......................................... 28
 作者:Yi-Chun Wang (王怡君), Justie Su-tzu Juan (阮夙姿)
5. Efficient Preprocessings on the One-Dimensional Discretely Scaled Pattern Matching Problem
.............................. 35
 作者:Yung-Hsing Peng (彭永興), Chang-Biau Yang (楊昌彪), Kuo-Si Huang (黃國璽), Hsing-Yen Ann (安興彥)
6. The Gray-Code Graph of t-ary Trees Using RD-Sequences Is Hamiltonian
......................................................... 44
 作者:Ro-Yu Wu (吳若禹), Jou-Ming Chang (張肇明), Yue-Li Wang (王有禮)

Session B1: Interconnection networks

1. Spanning Connectivity and Spanning Laceability of Hypercube-Like Networks .................................................. 52
 作者:Cheng-Kuan Lin (林政寬), Jimmy J. M. Tan (譚建民), D. Frank Hsu (許德標), Lih-Hsing Hsu (徐力行)
2. The Nearly Shortest Path Embedding in Crossed Cubes
................................................................................. 62
 作者:Pao-Lien Lai (賴寶蓮), Hong-Chun Hsu (許弘駿)
3. Ring and Path Embedding in Faulty Folded Petersen Cube Networks
................................................................ 68
 作者:Cheng-Kuan Lin (林政寬), Tung-Yang Ho (何東洋), Jimmy J. M. Tan (譚建民), Lih-Hsing Hsu (徐力行)
4. Balanced Bipancyclicity of Hypercubes
...................................................................................................... 74
 作者:Chang-Hsiung Tsai (蔡正雄), Jing-Kai Liao (廖經凱), Hong-Chun Hsu (徐鴻鈞), Pao-Lien Lai (賴寶蓮)
5. Cycles Embedding Problem in Hierarchical Hypercube Networks
..................................................................... 80
 作者:Ruei-Yu Wu (吳瑞瑜), Gen-Huey Chen (陳健輝), Gerard J. Chang (張鎮華), Jung-Sheng Fu (傅榮勝)
6. Parallel Construction of Independent Spanning Trees on Multidimensional Tori
................................................. 85
 作者:Shyue-Ming Tang (唐學明), Jinn-Shyong Yang (楊進雄), Jou-Ming Chang (張肇明), Yue-Li Wang (王有禮)

Session C1: Graphs

1. The Number of King Sets of Caterpillar Digraphs with Regular Legs ................................................................. 94
 作者:An-Hang Chen (陳恩航), Jou-Ming Chang (張肇明), Yue-Li Wang (王有禮)
2. Efficient Testing for the Strongly Connectivity of Digraphs
............................................................................ 99
 作者:Yen-Wu Ti (狄彥吾), Hsuan-Chang Chen, Yuh-Dauh Lyuu (呂育道)
3. Colouring Games on Outerplanar Graphs and Trees
..................................................................................... 105
 作者:Hungyung Chang (張宏鏞), Xuding Zhu (朱緒鼎)
4. Multiple Colouring of Cone Graphs
.......................................................................................................... 113
 作者:Zhishi Pan (潘志實), Xuding Zhu (朱緒鼎)
5. Global Defensive Alliances in Star Graphs
................................................................................................. 123
 作者:Cheng-Ju Hsu (許呈如), Fu-Hsing Wang (王福星), Yue-Li Wang (王有禮)
6. Roman Domination on Graphs of Bounded Treewidth
.................................................................................. 128
 作者:Sheng-Lung Peng (彭勝龍), Yuan-Hsiang Tsai (蔡元翔)

Session D1: Algorithms & Applications

1. 正確性有待商榷,先行移除
2. Optimal All-to-All Broadcast in WDM Optical Networks with Breakdown or Power-off Transceivers
..................... 139
 作者:JungChun Liu, Hann-Jang Ho (何漢彰), SingLing Lee (李新林)
3. Dynamic Programming Algorithms for Haplotype Blocks Partitioning with TagSNPs Minimization
........................ 148
 作者:Yaw-Ling Lin (林耀鈴), Tso-Ching Lee (李作卿), Wen-Pei Chen (陳文培)
4. Fragile Watermarking Algorithm for DCT-Domain Image Authentication and Recompression
............................... 158
 作者:Chun-Ching Wang (王春清), Yu-Chang Hsu (許育彰)
5. An Application of Degree-Constrained Minimum Spanning Trees in Sensor Networks
....................................... 162
 作者:Yu-Jie Huang, Jian-Da Lin, Chiu-Kuo Liang (梁秋國)
6. Efficient Algorithms for Computing the Reliability of Consecutive-k-out-of-n: F Systems with i.i.d. Components
...... 168
 作者:Jer-Shyan Wu (吳哲賢), Shih-Shen Chung (鍾士燊), Hai-Lun Huang (黃海倫)

Session A2: Bioinformatics & Algorithms

1. Three Dimensional Protein Structures Alignments by Minimum Bipartite Matching ............................................ 172
 作者:Shih-Peng Huang (黃世朋), Hsiang-Sheng Shin (施翔昇), Yaw-Ling Lin (林耀鈴)
2. The Generation of Words with Special Properties
........................................................................................ 182
 作者:J. S. Lin (林振盛), L. C. Juan (阮理洲), R. C. T. Lee (李家同)
3. A Linear Time Algorithm for the Backup 2-Center Problem on a Tree
............................................................... 189
 作者:Hung-Lung Wang (王弘倫), Bang Ye Wu (吳邦一), Kun-Mao Chao (趙坤茂)
4. On the Stack Sortable and Pushpopable Permutations
.................................................................................. 196
 作者:Yue-Li Wang (王有禮), Justie Su-tzu Juan (阮夙姿), Dyi-Rong Duh (杜迪榕)
5. Efficient Algorithms for the Block Edit Problems
......................................................................................... 201
 作者:Hsing-Yen Ann (安興彥), Chang-Biau Yang (楊昌彪), Yung-Hsing Peng (彭永興), Bern-Cherng Liaw (廖本丞)
6. 結合資料探勘與基因演算法用於特徵選取
.............................................................................................. 209
 作者:陳台晟, 柯兆軒, 楊正宏

Session B2: Interconnection networks & Graphs

1. Fault-Tolerant Hamiltonian Connectivity of the WK-Recursive Network .......................................................... 219
 作者:Jung-Sheng Fu (傅榮勝)
2. Embedding Various Even Cycles in a Hypercube with Node Failures
............................................................... 229
 作者:Chang-Hsiung Tsai (蔡正雄), Cha-Ron Yu (游家榮)
3. On Conditional Edge-Fault-Tolerant Cycles Embedding of Hypercubes
........................................................... 235
 作者:Chang-Hsiung Tsai (蔡正雄), Yung-Chun Lai (賴永俊)
4. Vertex Fault Tolerance for Multiple Spanning Paths in Hypercube
.................................................................. 241
 作者:Chun-Nan Hung (洪春男), Guan-Yu Shi (施冠宇)
5. On the Minimum Weighted Feedback Vertex Set Problem on the Parallel and Serial Connection of Diamonds
.......... 251
 作者:Yen-Lian Chen (陳彥良), Yue-Li Wang (王有禮), R. C. T. Lee (李家同)
6. A Simple Algorithm for Solving the Power Domination Problem on Grid Graphs
................................................. 256
 作者:Kung-Jui Pai (白恭瑞), Jou-Ming Chang (張肇明), Yue-Li Wang (王有禮)

Session C2: Graphs

1. Random Generation of 2-Connected Graphs ............................................................................................... 261
 作者:Yu Han Lyu (呂昱翰), Chuan Yi Tang (唐傳義)
2. New Constructions of Antimagic Graph Labeling
........................................................................................ 267
 作者:Tao-Ming Wang (王道明), Cheng-Chih Hsiao (蕭丞志)
3. Embedded Triangular Graphs
.................................................................................................................. 273
 作者:T. H. Ku (古宗翰), J. S. Lin (林振盛), Yue-Li Wang (王有禮), R. C. T. Lee (李家同)
4. The Reduced Graph of a Chordal Graph is Chordal
...................................................................................... 278
 作者:Maw-Shang Chang (張貿翔), Ming-Tat Ko (高明達)
5. Power Domination on Block-Cactus Graphs
............................................................................................... 280
 作者:Wing-Kai Hon (韓永楷), Chih-Shan Liu (劉至善), Sheng-Lung Peng (彭勝龍), Chuan Yi Tang (唐傳義)
6. Degree-Preserving Spanning Trees on Strongly Chordal Graphs and Directed Path Graphs
.................................. 285
 作者:Ching-Chi Lin (林清池), Gerard J. Chang (張鎮華), Gen-Huey Chen (陳健輝)

Session D2: Algorithms & Applications

1. On-Line Sensor Fault Detection Based on Majority Voting in Wireless Sensor Networks .................................... 292
 作者:Jeng-Yang Wu (吳政洋), Dyi-Rong Duh (杜迪榕), Tsang-Yi Wang (王藏億),
    Li-Yuan Chang (張力元)
2. A Fast Algorithm for Generating Fuzzy Rules Online by Incremental Mining Approach
...................................... 298
 作者:Ming-Yang Su (蘇民揚)
3. Disulfide Connectivity Prediction with Normalized Bond Vector
..................................................................... 308
 作者:Lin-Yu Tseng (曾怜玉), Shiau-Kuen Tsai (蔡效昆), Hsuan-Hung Lin (林宣宏)
4. Deploying Mobile Nodes to Connect Wireless Sensor Networks Using Novel Algorithms
.................................. 315
 作者:Chang Wu Yu (俞征武), Elvis Chen, Chun-Cheng Fang (方鈞正)
5. Contrast Prediction for Fractal Image Compression
...................................................................................... 325
 作者:Shou-Cheng Hsiung (熊守誠), J. H. Jeng (鄭志宏)
6. A Framework for Finding Statistically Significant Differences
........................................................................ 330
 作者:Yian-Shu Chu, Shian-Shyong Tseng (曾憲雄), Ren-Jei Luo, Yu-Jie Tsai

Poster Session

1. Robust Parameter Design by Neural Networks and Genetic Algorithms ............................................................ 340
 作者:Chih-Hsien Chen (陳志賢), Hsu-Hwa Chang (張旭華)
2. 禁忌搜尋法在向量量化編碼的應
........................................................................................................... 348
 作者:董俊良, 顏皓民, 彭鈺婷
3. Solving the Subcircuit Matching Problem by Using Encoded Matrix Method
.................................................... 355
 作者:Chia Shin Ou (歐家欣), R. C. T. Lee (李家同)
4. 生物晶片之探針辨識數目問題
............................................................................................................... 362
 作者:王立凡, 顏士勛, Jer-Shyan Wu (吳哲賢), 陳顧仁
5. Web 2.0 時代人際網路之計算問題 -- WARM 網站為例
......................................................................... 367
 作者:許無寒, 許迺赫, Bang Ye Wu (吳邦一)
6. Finding all Palindrome Subsequences in a String
......................................................................................... 371
 作者:K. R. Chuang (莊國榮), R. C. T. Lee (李家同), C. H. Huang (黃建宏)
7. A Genomic Study of Archaea regarding Oxygen Demand
.............................................................................. 376
 作者:王經篤, 胡若梅, 張文褔, 鄒佳芳
8. String Matching Algorithms Based upon the Uniqueness Property
................................................................. 385
 作者:Chia-Wei Lu (呂嘉維), R. C. T. Lee (李家同)
9. The Application of Convolution to Suffix to Prefix Rule for the Exact String Matching Problem
............................. 393
 作者:Zhong He Chen (陳中和), R. C. T. Lee (李家同)
10. Comments on the Lu-Su Authenticated Key Agreement Scheme in Ad Hoc Networks
....................................... 400
 作者:Yi-Hwa Chen (陳怡華)
11. Efficient Encoding Scheme for Date Attachable Electronic Cash
................................................................... 405
 作者:Chun-I Fan (范俊逸), Wei-Zhe Sun
12. Application of a Modified Convolution Method to Exact String Matching
...................................................... 411
 作者:K. W. Liu (劉貴文), R. C. T. Lee (李家同), C. H. Huang (黃建宏)
13. 由語料庫自動學習上下文無關文法
....................................................................................................... 417
 作者:陳泰宏, 陳嘉平
14. On Node Ranking of Graphs under Strong Orientation
................................................................................ 422
 作者:Yung-Ling Lai (賴泳伶), Yi-Ming Chen (陳一鳴)
15. A Study of Fractal Image Compression with Coefficient Quantization
............................................................ 426
 作者:Shuo-Li Hsu (徐碩利), Yukon Chang (張佑康), J. H. Jeng (鄭志宏)
16. A Time Scenes Simulation Using Multiple Regression of the Color Block's Time Images on the Discrete Cosine Transform Domain
................................................................................................................................... 431
 作者:Kai-Wen Chuang (莊凱文), Chen-Chung Liu (劉晨鐘), Wen-Yuan Chen (陳文媛), Chi-Chao Yang (楊其超)
17. Some Results on Interval Probe Graphs
................................................................................................... 440
 作者:In-Jen Lin (林英仁), C. H. Wu
18. Finding Object Depth Using Stereoscopic Photography
.............................................................................. 450
 作者:Yu-Hua Lee (李鈺華), Tai-Pao Chuang
19. Efficient Large Integers Arithmetic by Adopting Squaring and Complement Recoding Techniques
...................... 460
 作者:Chia-Long Wu (吳嘉龍), Der-Chyuan Lou (婁德權), Te-Jen Chang (張德仁)